Connected regular graphs with girth at least 7

The following table contains numbers of connected regular graphs having girth at least seven and with the given degree and number of vertices.

Not necessarily connected 2-regular with girth exactly 7 are given by A026800.

Girth at least: 3 4 5 6 7 8

  A014375  
Vertices Degree 3 Degree 4
24 1
26 3
28 21
30 546
32 30368
34 1782840
36 95079083
38 4686063120
     
67   ≥1